3 Answers

Although, eggs can apparently receive an increased Friendship upon hatching. "In Pokémon Diamond, Pearl, and Platinum, Eggs can be given a spa treatment at the Ribbon Syndicate building. This will cause the Egg to have an increased friendship upon hatching."

No, it cannot. I've actually tested this before with two Larvesta, one whilst I walked around with while it was an egg, and one I just hatched. Both had a Friendship Value of 120 (which is the value all Pokemon hatched from eggs have).